Abstract

This paper presents the use of the generalized classical method
(GCM) for solving linear and nonlinear differential equations.
This method is based on the differential transformation (DT)
technique. In the GCM, the solution of the nonlinear transient
regimes in the physical processes can be written as a functional
series with unknown coefficients. The series can be chosen to
satisfy the initial and boundary conditions which represent
the properties of the physical process. The unknown coefficients
of the series are determined from the differential transformation
of the nonlinear differential equation of the system. Therefore,
the approximate solution of the nonlinear differential equation
can be obtained as a closed-form series.

The validity and efficiency of the GCM is shown using some
transient regime problems in the electromechanics processes. The
numerical results obtained by the present method are compared with
the analytical solutions of the equations. It is shown that the
results are found to be in good agreement with each other.

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